Horse race - logic puzzle

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Rating: 2.4/5.0

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Two men were discussing which one of them owned the best horse. To
find out, they decided to organize a match. Because both of the men did not like to loose, they agreed on doing a ride as slow as possible. The last horse which would pass the finish would be the best one. The match started, but of course it did not proceed at all. After several hours the horsemen jumped of their horses and agreed upon something. After this short talk they jumped back on the horses and went with full speed to the finish. What did they agree upon?

Fake coins - logic puzzle

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Rating: 3.0/5.0

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Suppose you have five bags filled with the same type of coins and
a weigthing machine. One of this bags is completely filled with fake coins, the other bags contain only real ones. A real coin weights
10 gram and a fake one 11 gram.
What is the minimal number of times you need to use the weighting machine in order to find the bag with the fake coins?